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 A368871 Number of compositions (ordered partitions) of n into odd parts not greater than sqrt(n). 0
 1, 1, 1, 1, 1, 1, 1, 1, 1, 19, 28, 41, 60, 88, 129, 189, 277, 406, 595, 872, 1278, 1873, 2745, 4023, 5896, 40893, 64208, 100816, 158296, 248548, 390257, 612761, 962125, 1510678, 2371987, 3724369, 5847808, 9181920, 14416967, 22636762, 35543051 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,10 LINKS Table of n, a(n) for n=0..40. MAPLE b:= proc(n, t) option remember; `if`(n=0, 1, add( `if`(j::odd, b(n-j, t), 0), j=1..min(n, t))) end: a:= n-> b(n, floor(sqrt(n))): seq(a(n), n=0..40); # Alois P. Heinz, Jan 13 2024 MATHEMATICA Table[SeriesCoefficient[1/(1 - Sum[Boole[OddQ[k]] x^k, {k, 1, Floor[Sqrt[n]]}]), {x, 0, n}], {n, 0, 40}] CROSSREFS Cf. A000045, A364526. Sequence in context: A279771 A257043 A369341 * A120144 A255924 A067452 Adjacent sequences: A368868 A368869 A368870 * A368872 A368873 A368874 KEYWORD nonn AUTHOR Ilya Gutkovskiy, Jan 08 2024 STATUS approved

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Last modified August 2 21:27 EDT 2024. Contains 374875 sequences. (Running on oeis4.)